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Algebra and Trigonometry Enhanced with Graphing Utilities,9780130659125
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Algebra and Trigonometry Enhanced with Graphing Utilities

by ;
Edition:
3rd
ISBN13:

9780130659125

ISBN10:
0130659126
Format:
Hardcover
Pub. Date:
1/1/2003
Publisher(s):
Prentice Hall
List Price: $114.00
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Table of Contents

Preface to the Instructor xi
Preface to the Student xvii
List of Applications
xxvii
Photo Credits xxxiii
Review
1(88)
Real Numbers
2(15)
Algebra Review
17(8)
Geometry Review
25(5)
Integer Exponents
30(9)
Polynomials
39(11)
Factoring Polynomials
50(9)
Rational Expressions
59(12)
Square Roots; Radicals
71(8)
Rational Exponents
79(10)
Chapter Review
84(5)
Graphs
89(106)
Rectangular Coordinates; Graphing Utilities
90(10)
Introduction to Graphing Equations
100(9)
Solving Equations Using a Graphing Utility; Linear and Quadratic Equations
109(18)
Setting Up Equations; Applications
127(15)
Radical Equations; Equations Quadratic in Form; Absolute Value Equations
142(7)
Solving Inequalities
149(14)
Lines
163(17)
Circles
180(15)
Chapter Review
186(6)
Chapter Projects
192(3)
Linear and Quadratic Functions
195(60)
Functions
196(19)
Linear Functions and Models
215(11)
Quadratic Functions
226(11)
Quadratic Models
237(18)
Chapter Review
248(4)
Chapter Projects
252(1)
Cumulative Review
252(3)
Functions and Their Graphs
255(68)
Symmetry; Graphing Key Equations
256(7)
Properties of Functions
263(13)
Library of Functions; Piecewise-Defined Functions
276(10)
Graphing Techniques: Transformations
286(13)
Operations on Functions; Composite Functions
299(10)
Mathematical Models: Constructing Functions
309(14)
Chapter Review
317(3)
Chapter Projects
320(1)
Cumulative Review
321(2)
Polynomial and Rational Functions
323(56)
Power Functions and Models
324(6)
Polynomial Functions and Models
330(13)
Rational Functions I
343(12)
Rational Functions II: Analyzing Graphs
355(10)
Polynomial and Rational Inequalities
365(14)
Chapter Review
373(3)
Chapter Projects
376(1)
Cumulative Review
377(2)
The Zeros of a Polynomial Function
379(38)
Synthetic Division
380(4)
The Real Zeros of a Polynomial Function
384(14)
Complex Numbers; Quadratic Equations with a Negative Discriminant
398(9)
Complex Zeros; Fundamental Theorem of Algebra
407(10)
Chapter Review
412(2)
Chapter Projects
414(2)
Cumulative Review
416(1)
Exponential and Logarithmic Functions
417(94)
One-to-One Functions; Inverse Functions
418(13)
Exponential Functions
431(14)
Logarithmic Functions
445(12)
Properties of Logarithms
457(10)
Logarithmic and Exponential Equations
467(4)
Compound Interest
471(11)
Growth and Decay
482(11)
Exponential, Logarithmic, and Logistic Models
493(18)
Chapter Review
502(6)
Chapter Projects
508(2)
Cumulative Review
510(1)
Systems of Equations and Inequalities
511(98)
Systems of Linear Equations: Two Equations Containing Two Variables
512(11)
Systems of Linear Equations: Three Equations Containing Three Variables
523(6)
Systems of Linear Equations: Matrices
529(18)
Systems of Linear Equations: Determinants
547(12)
Matrix Algebra
559(18)
Systems of Linear Inequalities; Linear Programming
577(16)
Partial Fraction Decomposition
593(16)
Chapter Review
601(5)
Chapter Projects
606(1)
Cumulative Review
607(2)
Trigonometric Functions
609(100)
Angles and Their Measure
610(14)
Right Triangle Trigonometry
624(12)
Computing the Values of Trigonometric Functions of Given Angles
636(7)
Trigonometric Functions of General Angles
643(11)
Properties of the Trigonometric Functions; Unit Circle Approach
654(12)
Graphs of the Sine and Cosine Functions
666(16)
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
682(7)
Phase Shift; Sinusoidal Curve Fitting
689(20)
Chapter Review
700(6)
Chapter Projects
706(2)
Cumulative Review
708(1)
Analytic Trigonometry
709(70)
The Inverse Sine, Cosine, and Tangent Functions
710(12)
The Inverse Trigonometric Functions (continued)
722(5)
Trigonometric Identities
727(7)
Sum and Difference Formulas
734(11)
Double-Angle and Half-Angle Formulas
745(10)
Product-to-Sum and Sum-to-Product Formulas
755(4)
Trigonometric Equations I
759(6)
Trigonometric Equations II
765(14)
Chapter Review
772(4)
Chapter Projects
776(1)
Cumulative Review
777(2)
Applications of Trigonometric Functions
779(50)
Applications Involving Right Triangles
780(8)
Law of Sines
788(12)
Law of Cosines
800(6)
Area of a Triangle
806(6)
Simple Harmonic Motion; Damped Motion; Combining Waves
812(17)
Chapter Review
822(4)
Chapter Projects
826(2)
Cumulative Review
828(1)
Polar Coordinates; Vectors
829(62)
Polar Coordinates
830(9)
Polar Equations and Graphs
839(18)
The Complex Plane; De Moivre's Theorem
857(9)
Vectors
866(12)
The Dot Product
878(13)
Chapter Review
886(3)
Chapter Projects
889(1)
Cumulative Review
890(1)
Analytic Geometry
891(90)
Conics
892(1)
The Parabola
893(12)
The Ellipse
905(12)
The Hyperbola
917(15)
Rotation of Axes; General Form of a Conic
932(9)
Polar Equations of Conics
941(7)
Plane Curves and Parametric Equations
948(15)
Systems of Nonlinear Equations
963(18)
Chapter Review
974(4)
Chapter Projects
978(1)
Cumulative Review
979(2)
Sequences; Induction; the Binomial Theorem
981(50)
Sequences
982(15)
Arithmetic Sequences
997(6)
Geometric Sequences; Geometric Series
1003(11)
Mathematical Induction
1014(4)
The Binomial Theorem
1018(13)
Chapter Review
1026(3)
Chapter Projects
1029(1)
Cumulative Review
1030(1)
Counting and Probability
1031(1)
Sets and Counting
1032(6)
Permutations and Combinations
1038(11)
Probability of Equally Likely Outcomes
1049(13)
Obtaining Probabilities from Data
1062(5)
Chapter Review
1067(4)
Chapter Projects
1071(1)
Cumulative Review
1072
Answers 1(1)
Index 1


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